SOLUTION: Im=integral 0 to pi/4 (tan x) the whole raised to m then what is I3+I5+I7+I9= ?

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Question 1085459: Im=integral 0 to pi/4 (tan x) the whole raised to m
then what is I3+I5+I7+I9= ?
Answer by Edwin McCravy(20065) About Me  (Show Source):
You can put this solution on YOUR website!
First find the integral, then we'll raise to the m power:

int%28tan%5E%22%22%28x%29%2Cdx%2C0%2Cpi%2F4%29%22%22=%22%22int%28%28sin%28x%29%2Fcos%28x%29%29%2Cdx%2C0%2Cpi%2F4%29%22%22=%22%22int%28%28%28-sin%28x%29%29%2Fcos%28x%29%29%2Cdx%2C0%2Cpi%2F4%29%22%22=%22%22

%22%22=%22%22%28-ln%28cos%28pi%2F4%29%5E%22%22%29%5E%22%22%29-%28-ln%28cos%280%29%5E%22%22%29%5E%22%22%29%22%22=%22%22

-ln%28cos%28pi%2F4%29%5E%22%22%29%2Bln%28cos%280%29%5E%22%22%29%22%22=%22%22-ln%28sqrt%282%29%2F2%29%2Bln%281%5E%22%22%29%22%22=%22%22-ln%28sqrt%282%29%2F2%29%2B0%22%22=%22%22-ln%28sqrt%282%29%2F2%29%22%22=%22%22

[Note that ,so the above becomes:]



I%5B3%5D%2BI%5B5%5D%2BI%5B7%5D%2BI%5B9%5D%22%22=%22%22%22%22=%22%22



Edwin